114896960 has 112 divisors (see below), whose sum is σ = 290998656. Its totient is φ = 43118592.

The previous prime is 114896941. The next prime is 114896993. The reversal of 114896960 is 69698411.

It is a Cunningham number, because it is equal to 10719²-1.

It is a super-2 number, since 2×114896960² = 26402622834483200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493004 + ... + 493236.

Almost surely, 2^114896960 is an apocalyptic number.

114896960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145499328).

114896960 is an abundant number, since it is smaller than the sum of its proper divisors (176101696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114896960 is a wasteful number, since it uses less digits than its factorization.

114896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 114896960 is about 10718.9999533539. Note that the first 4 decimals coincide. The cubic root of 114896960 is about 486.1491297781.

The spelling of 114896960 in words is "one hundred fourteen million, eight hundred ninety-six thousand, nine hundred sixty".